Abstract
A quantum-mechanical model has been developed for describing the thermodynamics of an ensemble of ideal antiferromagnetic nanoparticles in the approximation of slowly relaxing macrospins of magnetic sublattices. This model is the foundation for the further development of the general theory for the magnetic dynamics of antiferromagnetic and ferrimagnetic nanoparticles. Moreover, it already allows a qualitative description of the difference between the thermodynamic properties of nanoparticles of different magnetic natures, including quantum effects, which have been observed for almost fifty years in many experimental Mössbauer absorption spectra of 57Fe nuclei in antiferromagnetic nanoparticles.
Similar content being viewed by others
References
L. Néel, Ann. Geophys. 5, 99 (1949).
L. Néel, C.R. Acad. Sci. Paris 252, 4075 (1961); C.R. Acad. Sci. Paris 253, 9 (1961); C.R. Acad. Sci. Paris 253, 203 (1961); C.R. Acad. Sci. Paris 253, 1286 (1961).
C. Gilles, P. Bonville, K. K. W. Wong, and S. Mann, Eur. Phys. J. B 17, 417 (2000); Yu. L. Raikher, V. I. Stepanov, S. V. Stolyar, et al., Phys. Solid State 52, 298 (2010).
G. Constabaris, R. H. Lindquist, and W. Kundig, Appl. Phys. Lett. 7, 59 (1965).
M. A. Chuev and J. Hesse, in Magnetic Properties of Solids, Ed. by K. B. Tamayo (Nova Science Publ., New York, 2009).
O. Hupe, M. A. Chuev, H. Bremers, et al., J. Phys.: Condens. Matter. 11, 10545 (1999).
F. Bodker, M. F. Hansen, C. B. Koch, et al., Phys. Rev. B 61, 6826 (2000).
S. Morup, H. Topsée, and J. Lipka, J. Phys. 37, C6–287 (1976).
D. H. Jones and K. K. P. Srivastava, Phys. Rev. B 34, 7542 (1986).
M. A. Chuev, JETP Lett. 94, 288 (2011); M. A. Chuev, J. Phys.: Condens. Matter. 23, 426003 (2011).
M. A. Chuev, J. Exp. Theor. Phys. 114, 609 (2012).
I. E. Dzyaloshinskii, Sov. Phys. JETP 5, 1259 (1957).
W. Kündig, H. Bommel, G. Constabaris, and R. H. Lindquist, Phys. Rev. 142, 7542 (1966); T. S. Shinjo, J. Phys. Soc. Jpn. 21, 917 (1966).
I. P. Suzdalev, V. N. Buravtsev, V. K. Imshennik, et al., Z. Phys. D 37, 55 (1996); I. P. Suzdalev, A. S. Plachinda, V. N. Buravtsev, et al., Khim. Fiz. 17, 104 (1998); I. P. Suzdalev, Yu. V. Maksimov, V. K. Imshennik, et al., Nanotechnol. Russia 4, 467 (2009).
D. E. Madsen, M. F. Hansen, J. Bendix, and S. Morup, Nanotechnology 19, 315712 (2008).
S. V. Vonsovskii, Magnetism (Nauka, Moscow, 1971; Wiley, New York, 1971).
D. S. Rodbell and C. P. Bean, J. Appl. Phys. 33, S1037 (1962).
A. M. Afanas’ev, M. A. Chuev, and J. Hesse, Phys. Rev. B 56, 5489 (1997); A. M. Afanas’ev, M. A. Chuev, and J. Hesse, J. Exp. Theor. Phys. 86, 983 (1998); J. Exp. Theor. Phys. 89, 533 (1999); M. A. Chuev and J. Hesse, J. Phys.: Condens. Matter 19, 506201 (2007); M. A. Chuev, J. Phys.: Condens. Matter. 20, 505201 (2008).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 3: Quantum Mechanics: Non-Relativistic Theory (Nauka, Moscow, 1989, 4th ed.; Pergamon, New York, 1977, 3rd ed.).
W. F. Brown, Jr., Phys. Rev. 130, 1677 (1963).
M. A. Chuev, J. Exp. Theor. Phys. 108, 249 (2009).
M. A. Chuev, V. M. Cherepanov, and M. A. Polikarpov, JETP Lett. 92, 21 (2010).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © M.A. Chuev, 2012, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2012, Vol. 95, No. 6, pp. 323–329.
Rights and permissions
About this article
Cite this article
Chuev, M.A. On the thermodynamics of antiferromagnetic nanoparticles by example of Mössbauer spectroscopy. Jetp Lett. 95, 295–301 (2012). https://doi.org/10.1134/S0021364012060033
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021364012060033